Jet broadening in dense inhomogeneous matter

TL;DR

This paper investigates how high-energy jets are broadened when passing through dense, inhomogeneous nuclear matter, using advanced theoretical formalisms to understand the effects relevant for heavy-ion collisions and deep inelastic scattering.

Contribution

It introduces a gradient expansion approach to model jet broadening in inhomogeneous media and derives the associated particle distributions using both GLV and BDMPS-Z formalisms.

Findings

Derived the final particle distribution considering inhomogeneous media.

Presented numerical estimates of jet broadening probabilities.

Analyzed the effects of initial and final state modifications on jet propagation.

Abstract

In this work, we study the jet momentum broadening in an inhomogeneous dense QCD medium. The transverse profile of this nuclear matter is described within a gradient expansion, and we focus on the leading gradient contributions. The leading parton is allowed to interact multiple times with the background through the soft gluon exchanges. We derive the associated final particle distribution using both the GLV opacity series and the BDMPS-Z formalism. We further discuss the modified factorization of the initial and final state effects and its consequences for phenomenological applications in the context of heavy-ion collisions and deep inelastic scattering. Finally, we present the broadening probability (describing the final state effects) in several limiting regimes, and give its numerical estimates for phenomenologically motivated sets of parameters.